centralizes control according to stake, which is a finite resource
....
there is no way to distribute new coins (must distribute proportional to stake in order to be fair thus effectively no change in coin distribution)
You still are under the misconception that stake is a finite resource within PoS cryptocurrencies.
By marrying PoS and PoW it is possible:
A. Far advance warning of an cryptocurrencies' distribution/fundraising, with a clear objective and roadmap for the project and a set timeframe for the distribution/fundraising.
B. A working closed source beta, to be open-sourced after the original distribution period
C. PoW distribution (50% of the genesis stake)
Ca. Use several different mining algorithms, with each having an their own separate difficulty and the same chance to find the next block (implemented in several coins.. MyriadCoin was the first)
Cb. Use at least one algorithm per different types of mining hardware (one for Scrypt ASICs, one for SHA256 ASICs, one for CPUs, one for ATI GPUs, one for NVIDIA GPUs, etc..)
Cc. The point of this is to allow people with all types of minin hardware to participate so it is inclusive of everyone.
D. A regular IPO distribution (50% of the genesis stake)
Da. This is to allow people to participate in the initial distribution that do not want to hassle with mining equipment.
E. Launch said closed source beta into the wild after the distribution/fund-raising has occurred and switch to PoS
F. To mitigate claims of having an unfair PoS distribution to early insiders...
Fa. Have an annual block-limited PoW period that issues more coins to PoW miners.
Fb. The amount of tokens mined in the annual PoW periods should be reduced each year until eventually there is only a small amount of coins issued annually in perpetuity (aka. a tail emission).
Fc. This is intended to mimic the block reduction scheme and distribution of most PoW currencies, but with an added tail emission.
I am less certain about this, but I think that if the parameters/economics of the above are designed sufficiently then it can even thwart this gripe as well:
attacking the coin is a one-time cost of stake that sustains forever, whereas for Proof-of-Work the attacker must continue to expend resources on mining to maintain an attack
Since the attacker would have to compete during the annual PoW phases to retain control of the PoS cryptocurrency, it can no longer be considered a "one-time cost".