Intervals of solutions of the discrete-time algebraic Riccati equation
β Scribed by Harald K. Wimmer
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 103 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0167-6911
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π SIMILAR VOLUMES
Consider the discrete-time algebraic Riccati equation (DARE) ATXA -X -(ATXB + S)(R + B?fB)~' (F/U + ST) + Q = 0, where A E W"", B, S t (w"""'~ R = RT E LQ"""' , Q = QT E W"'. The available perturbation theory for the DARE can only be applied to the case R > 0. However, in some control problems the
A solution X of a discrete-time algebraic Riccati equation is called unmixed if the corresponding closed-loop matrix (X ) has the property that the common roots of det(sI -(X )) and det(I -s (X ) \* ) (if any) are on the unit circle. A necessary and su cient condition is given for existence and uniq
The existence of a solution of the discrete-time algebraic Riccati equation is established assuming modulus controllability and positive semideΓΏniteness on the unit circle of the Popov function. As an application a nonstrictly bounded real lemma is obtained.