Title

On controllability of second order dynamical systems – a survey

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2017

Volume

65

Issue

No 3

Authors

Klamka, J. ; Wyrwał, J. ; Zawiski, R.

Divisions of PAS

Nauki Techniczne

Coverage

279-295

Date

2017

Identifier

DOI: 10.1515/bpasts-2017-0032 ; ISSN 2300-1917

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2017; 65; No 3; 279-295

References

Alabau (2003), A two - level energy method for indirect boundary observability and controllability of weakly coupled hyperbolic systems, SIAM J Control Optim, 60, 871. ; Tebou (2008), Locally distributed desensitizing controls for the wave equation Paris, Math, 59, 346. ; Klamka (2009), Constrained controllability of semilinear systems with delays, Nonlinear Dynamics, 39, 169. ; Wang (1999), Controllability and observability of linear time varying singular systems on Automatic, IEEE Transactions Control, 24, 1901. ; Triggiani (1975), On the lack of exact controllability for mild solu - tions in Banach spaces of Mathematical Analysis and, Journal Applications, 19, 438. ; Avdonin (2013), de Teresa Exact boundary controllability of coupled hyperbolic equations International of and, Journal Applied Mathematics Computer Science, 65, 701. ; Kobayashi (1995), Simplified conditions of controllability and ob - servability for a model of flexible structures Archives of Con - trol, Sciences, 31, 251. ; Solak (1984), Transformations between canonical forms for multivariable linear constant systems of, International Journal Control, 13, 141. ; Luenberger (1967), Canonical forms for linear multivariable sys - tems on, IEEE Transactions Automatic Control, 12, 290. ; Bender (1985), Controllability and observability at infinity of multivariable linear second - order models IEEE Transactions on, Automatic Control, 28, 1234. ; Das (2016), Existence of solution and approximate controllability of a second - order neutral sto - chastic differential equation with state dependent delay Acta, Mathematica Scientia, 50, 1509. ; Larez (2015), Approximate con - trollability of semilinear impulsive strongly damped wave equa - tion of Applied, Journal Analysis, 79, 45. ; Chalishajar (2015), Trajectory controllability of second order nonlinear integro - differential system : An ana - lytical and a numerical estimation Differential Equations and Dynamical, Systems, 43, 467. ; Kalman (1962), Canonical structure of linear dynamical systems Proceedings of the National Academy of Sciences of the United States of, America, 3, 596. ; Silverman (1971), Realization of linear dynamical systems on, IEEE Transactions Automatic Control, 10, 54. ; Wang (2007), The dynamic complexity of a three - species Beddington - type food chain with impulsive con - trol strategy Chaos Solitions and, Fractals, 72, 1772. ; Chen (1989), Proof of extensions of two conjectures on structural damping for elastic systems Pacific of, Journal Mathematics, 80, 15. ; Banaszuk (1999), On perturbations of control - lable implicit linear systems of Mathematical Control and Information, IMA Journal, 27, 91. ; Armentano (1986), The pencil ( sE and controllability - observ - ability for generalized linear systems : a geometric approach on Control Optimization, SIAM Journal, 26, 616. ; Mahmudov (2000), On controllability of linear stochastic systems of, International Journal Control, 45, 144. ; Bashirov (2013), On partial complete controllability of semilinear systems Abstract and, Applied Analysis, 33, 1. ; Muthukumar (2015), Approximate controllability of second - order neutral stochastic differential equations with in - finite delay and poisson jumps of Systems Science &, Journal Complexity, 52, 1033. ; Klamka (1977), Minimum energy control of discrete systems with delays in control of, International Journal Control, 14, 737. ; Klamka (2004), Constrained controllability of semilinear systems with multiple delays in control, Bull Tech, 38, 25. ; Kaczorek (1986), Minimum energy control of linear systems with variable coefficients, International Journal of Control, 17, 645. ; Rogovchenko (1997), Impulsive evolution systems : main results and new trends Dynamics of Continuous Discrete and Impulsive, Systems, 68, 57. ; Klamka (2007), Stochastic controllability of linear systems with state delays of Applied Mathematics and Com - puter, International Journal Science, 48, 5. ; Chen (2010), Approximate controllability of impulsive differential equations with nonlocal conditions International of Nonlinear, Journal Science, 78, 438. ; Van (2013), On controllability of duffing equation and Computation, Applied Mathematics, 56, 219. ; Arthi (2015), On controllability of second - order im - pulsive neutral integrodifferential systems with infinite delay of Mathematical Control and, IMA Journal Information, 77, 639. ; Alabau (2011), Indirect controllability of locally coupled systems under geometric conditions Paris, Math Acad, 61, 349. ; Klamka (2007), Stochastic controllability of linear systems with delay in control On controllability of second order dynamical systems a survey Stochastic controllability of systems with variable delay in control, Bull Tech Bull Tech Bull Tech, 46, 23. ; Klamka (2008), Controllability of second - order in - finite - dimensional systems Systems and Control, Letters, 32, 386. ; Mahmudov (2003), Controllability of nonlinear stochastic systems of, International Journal Control, 44, 95. ; Russell (1978), Controllability and stabilizability theory for linear partial differential equations, SIAM Review, 62, 639. ; Brien (1975), Perturbation of controllable systems SIAM on Control and Optimization, Journal, 30, 462. ; Klamka (2013), Controllability of dynamical systems A survey, Bull Tech, 49, 335. ; Caccetta (2000), A survey of reachability and controllability for positive linear systems Annals of Operations, Research, 23, 101. ; Leiva (2013), A characterization of semilinear dense range operators and applications Abstract and, Applied Analysis, 34, 1. ; Klamka (2008), Constrained controllability of semilinear systems with delayed controls, Bull Tech, 42, 333. ; Hansen (1995), Exact controllability and stabiliza - tion of a vibrating spring with an interior point mass SIAM, Control Optim, 64, 1357. ; Choisy (2006), Dynamics of infectious diseases and pulse vaccination : tearing apart the embedded res - onance effect, Physica D, 71, 26. ; Klamka (1983), Minimum energy control of - D systems in Hilbert spaces Systems, Science, 15, 33.