Abstract
In this paper, the problems of state response and controllability conditions for higher-order descriptor systems are analyzed. For the nonhomogeneous higher-order polynomial matrix system, the complete solutions are derived under the nonzero initial state and initial input conditions based on the Smith-MacMillan form of a rational matrix at infinity and the finite and infinite Jordan matrices of the polynomial matrix. Meanwhile, the admissible initial conditions of the system are discussed, which can avoid the system producing impulsive behavior. Finally, the controllability subspace is constructed by analyzing the proposed solution structure of the associated system equation, and algebraic criteria of controllability is given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
